I Understanding the Semicolon Usage in Meijer's G-Function Notation

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Hello,

What are the semicolons in the this Meijer's G Function (picture is attached)? The notation I saw in different books and in the Internet doesn't include semicolons. Do they signify something that is not in the other notations?

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Progress in Industrial Mathematics at ECMI 2016, pg 485 footnote 1
https://books.google.com/books?isbn=3319630822

1Greek tensor indices indicate the full range of spacetime values, whereas Latin will only refer to the spatial values. Comma and semicolon are standard notation for partial and covariant derivatives, respectively. For scalars, partial and covariant derivitives are identical.

Actually, I know nothing about this, I just did a Google search for: semicolon in Meijer's G Function

Cheers,
Tom
 
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Thanks, but this is very generic. I am looking for something specific for the Meijer's G function because of different notation uses that is causing me confusion.
 
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